The value of Planck's constant (h) is 6.63 × 10-34 Js. The velocity of light is 3.0 × 108 ms -1. Which value is closest to the wavelength (in meters) of a quantum of light with frequency of 8 × 1015 s -1 ?

Question

The value of Planck's constant (h) is 6.63 × 10-34 Js. The velocity of light is 3.0 × 108 ms -1. Which value is closest to the wavelength (in meters) of a quantum of light with frequency of 8 × 1015 s -1 ? (A) 5×10-18 (B) 3.75 × 10-8 (C) 3×107 (D) 2×10-25

Tardigrade Admin · Accepted Answer

Given Planck's constant =6.63 × 10-34 Js Speed of the light =3 × 108 nms -1 Frequency of quanta =8 × 1015 s -1 We know that v =( c /λ) v =(3 × 108/8 × 10+15)=(3/8) × 10-7 =3.75 × 10-8

Q. The value of Planck's constant $(h)$ is $6.63 \times 1 0^{- 34} J s$ . The velocity of light is $3.0 \times 1 0^{8} m s^{- 1}$ . Which value is closest to the wavelength (in meters) of a quantum of light with frequency of $8 \times 1 0^{15} s^{- 1}$ ?

$5 \times 1 0^{- 18}$

$3.75 \times 1 0^{- 8}$

$3 \times 1 0^{7}$

$2 \times 1 0^{- 25}$

Given
Planck's constant $= 6.63 \times 1 0^{- 34} J s$
Speed of the light $= 3 \times 1 0^{8} nm s^{- 1}$
Frequency of quanta $= 8 \times 1 0^{15} s^{- 1}$
We know that
$v = \frac{c}{λ}$
$v = \frac{3 \times 1 0 ^{8}}{8 \times 1 0 ^{+ 15}} = \frac{3}{8} \times 1 0^{- 7}$
$= 3.75 \times 1 0^{- 8}$

Q. The value of Planck's constant (h) is 6.63×10−34Js. The velocity of light is 3.0×108ms−1. Which value is closest to the wavelength (in meters) of a quantum of light with frequency of 8×1015s−1 ?

5×10−18

3.75×10−8

3×107

2×10−25